Information-based numerical distances between equilibrium and non-equilibrium states
We consider a typical master equation describing thermal time-evolution. In parallel, we also consider a quasi static canonical description of the same problem. We are able to devise a way of numerically comparing these two treatments and concoct a distance-measure between them. In this way, one is...
| Authors: | , , , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2020 |
| Country: | Argentina |
| Institution: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repository: | CONICET Digital (CONICET) |
| Language: | English |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/145157 |
| Online Access: | http://hdl.handle.net/11336/145157 |
| Access Level: | Open access |
| Keyword: | Information theory Master equation thermal time-evolution equilibrium-off equilibrium distances. https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
| Summary: | We consider a typical master equation describing thermal time-evolution. In parallel, we also consider a quasi static canonical description of the same problem. We are able to devise a way of numerically comparing these two treatments and concoct a distance-measure between them. In this way, one is in a position to know how far or close equilibrium and off-equilibrium can get. The first, rather surprising observation, is that our systems lose structural details as N grows. Also, the time-evolution of the distance between the two pertinent probability distributions is quite sensitive to the heating-cooling process. |
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